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57445038 = 2347179283
BaseRepresentation
bin1101101100100…
…0101010101110
311000002111210000
43123020222232
5104201220123
65411125130
71265163150
oct333105256
9130074700
1057445038
112a476342
12172a37a6
13bb94061
1478b4ad0
15509ab43
hex36c8aae

57445038 has 80 divisors (see below), whose sum is σ = 148452480. Its totient is φ = 16263504.

The previous prime is 57444997. The next prime is 57445039. The reversal of 57445038 is 83054475.

57445038 is a `hidden beast` number, since 574 + 4 + 50 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57444993 and 57445011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57445039) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 202845 + ... + 203127.

It is an arithmetic number, because the mean of its divisors is an integer number (1855656).

Almost surely, 257445038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57445038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74226240).

57445038 is an abundant number, since it is smaller than the sum of its proper divisors (91007442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57445038 is a wasteful number, since it uses less digits than its factorization.

57445038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 57445038 is about 7579.2504906488. The cubic root of 57445038 is about 385.8491137114.

The spelling of 57445038 in words is "fifty-seven million, four hundred forty-five thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 179 189 283 358 378 537 566 567 849 1074 1134 1253 1611 1698 1981 2506 2547 3222 3759 3962 4833 5094 5943 7518 7641 9666 11277 11886 14499 15282 17829 22554 22923 28998 33831 35658 45846 50657 53487 67662 101314 101493 106974 151971 160461 202986 303942 320922 354599 455913 709198 911826 1063797 1367739 2127594 2735478 3191391 4103217 6382782 8206434 9574173 19148346 28722519 57445038